• Corpus ID: 221703717

Hermitian K-theory for stable $\infty$-categories I: Foundations

@article{Calms2020HermitianKF,
  title={Hermitian K-theory for stable \$\infty\$-categories I: Foundations},
  author={Baptiste Calm{\`e}s and Emanuele Dotto and Yonatan Harpaz and Fabian Hebestreit and Markus Land and Kristian Jonsson Moi and Denis Nardin and Thomas Nickelsen Nikolaus and Wolfgang Steimle},
  journal={arXiv: K-Theory and Homology},
  year={2020}
}
This paper is the first in a series in which we offer a new framework for hermitian K-theory in the realm of stable $\infty$-categories. Our perspective yields solutions to a variety of classical problems involving Grothendieck-Witt groups of rings and clarifies the behaviour of these invariants when 2 is not invertible. In this article we lay the foundations of our approach by considering Lurie's notion of a Poincare $\infty$-category, which permits an abstract counterpart of unimodular forms… 
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